A GOAL-ORIENTED HIGH-ORDER ANISOTROPIC MESH ADAPTATION USING DISCONTINUOUS GALERKIN METHOD FOR LINEAR CONVECTION-DIFFUSION-REACTION PROBLEMS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10403531" target="_blank" >RIV/00216208:11320/19:10403531 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=d.UB_09Tq3" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=d.UB_09Tq3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/18M1172491" target="_blank" >10.1137/18M1172491</a>

Result language
angličtina
Original language name
A GOAL-ORIENTED HIGH-ORDER ANISOTROPIC MESH ADAPTATION USING DISCONTINUOUS GALERKIN METHOD FOR LINEAR CONVECTION-DIFFUSION-REACTION PROBLEMS
Original language description
We deal with the numerical solution of a linear convection-diffusion-reaction equation using the discontinuous Galerkin method of arbitrary polynomial approximation degree on anisotropic triangular grids. We derive a posteriori goal-oriented error estimates taking into account the anisotropy of mesh elements. The resulting error estimates are employed for the construction of an anisotropic mesh adaptation algorithm which locally optimizes the size and shape of mesh elements. The computational performance is demonstrated by several numerical experiments.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA17-01747S" target="_blank" >GA17-01747S: Theory and numerical analysis of coupled problems in fluid dynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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